Question

(iii) If pq = 6 and p + q = 5, then p² + q² = ?
(a) 10
(b) 11
(c) 12
(d) 13​

Answer 1

p+q=5

squaring both sides

p²+q²=5²

(p+q)²=25

p²+q²+2pq=25

p²+q²-2(6)=25

p²+q²+12=25

p²+q²=25-12

p²+q²=13

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Answer 2

Answer:

(a+b)^2 = a^2 + b^2 + 2(a)(b)

=> (p+q)^2 -2(p)(q) = p^2 + q^2

=> (5)^2 -2(6) = p^2 + q^2

=> 25 -12 = p^2 + q^2

=> 13 = p^2 + q^2

hence, the answer is option (d) 13.